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      Question

      In hypothesis testing, failing to reject a false null

      hypothesis is known as:
      A Type I error Correct Answer Incorrect Answer
      B Type II error Correct Answer Incorrect Answer
      C Correct decision Correct Answer Incorrect Answer
      D Power of the test Correct Answer Incorrect Answer
      E Level of significance Correct Answer Incorrect Answer

      Solution

      • In hypothesis testing, there are two types of errors:
        • Type I Error ( α ):  Rejecting the  true  null hypothesis (H â‚€ ). A "false positive."
        • Type II Error ( β ):  Failing to reject (i.e., accepting) a  false  null hypothesis (H â‚€ ). A "false negative."
          The  power of a test (1- β )  is the probability of correctly rejecting a false null hypothesis. So, the error described in the question is a Type II error.

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